J. V. L. Chew and Jumat Sulaiman and A. Sunarto and J. Pradeepkandhasamy (2022) Application and efficiency evaluation of 4point newton explicit group to solve 2d porous medium equation. International Journal of Mathematics and Computer Science, 17. pp. 499500. ISSN 18140432
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Application and efficiency evaluation of 4point newton explicit group to solve 2d porous medium equation.ABSTRACT.pdf Download (61kB) 

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Abstract
In this paper, a linearized implicit finite difference method is used to approximate the solution of a twodimensional nonlinear porous medium equation. A large and sparse nonlinear system is iteratively solved using the Newton method and the 4point explicit group technique. The efficiency of the applied 4point NEG method is evaluated based on the number of iterations and elapsed time recorded from the simulation with different grid points. The accuracy of the method is measured using the error of absolute of the numerical solution against the exact solution of the proposed problems. A comparative analysis is made using the control method, the NewtonGaussSeidel method. The numerical finding showed that the 4point NEG method is faster than the NewtonGaussSeidel method by 36.75%, and the number of iterations is successfully reduced by 45.63%. The accuracy of the 4 point NEG method to solve twodimensional porous medium equation is better than the NewtonGaussSeidel method.
Item Type:  Article 

Keyword:  Twodimensional porous medium equation , Implicit finite difference method , Newton method , Explicit group 
Subjects:  Q Science > QA Mathematics > QA1939 Mathematics > QA143 General 
Department:  FACULTY > Faculty of Science and Natural Resources 
Depositing User:  DG MASNIAH AHMAD  
Date Deposited:  09 Aug 2022 10:08 
Last Modified:  09 Aug 2022 10:08 
URI:  https://eprints.ums.edu.my/id/eprint/33634 
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